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September 2021 term · Statistics for Data Science II · BSMA1004

Stats 2 Quiz 2: 31 October 2021, Set QPA (September 2021 term)

The IIT Madras BS Statistics for Data Science II (Stats 2) Quiz 2 paper sat on 31 Oct 2021, in the September 2021 term, set QPA: 23 questions for 50 marks in 120 minutes. Every question is below with its answer. Take it as a timed mock test to be marked, or read it through first.

Questions
23
Marks
50
Duration
120 min
Numerical
8
MCQ
10
Written
5
Take as mock testPractise with answers

Updated

Official paper: IIT M QUIZ FOUNDATION EXAM QPB 31 OCT 2021 350 · No negative marking.

Question 1

+2 marksNumerical answer
Show answer

Correct answer: 1.6 (accepted within ±0.02)

Question 1 on its own page

Question 2

+2 marksOne correct option
  1. A
  2. B
  3. C
  4. D
Show answer

Correct answer

  • B
Question 2 on its own page

Question 3

+3 marksWritten answer
Show answer

Correct answer: 0.371 to 0.379 or Question Numbers : (112 to 114) or Question Label : Comprehension or Based on the above data , answer the given sub questions . or Sub questions

Question 3 on its own page

Question 4

+2 marksNumerical answer
Show answer

Correct answer: 0.031 (accepted within ±0.001)

Question 4 on its own page

Question 5

+3 marksNumerical answer
Show answer

Correct answer: 0.081 (accepted within ±0.002)

Question 5 on its own page

Question 6

+2 marksOne correct option

Is Y a geometric random variable?

  1. A

    Yes

  2. B

    No
    Question Numbers : (115 to 116)
    Question Label : Comprehension

    Based on the above data , answer the given sub questions .
    Sub questions

Show answer

Correct answer

  • B

    No
    Question Numbers : (115 to 116)
    Question Label : Comprehension

    Based on the above data , answer the given sub questions .
    Sub questions

Question 6 on its own page

Question 7

+2 marksOne correct option
  1. A
  2. B
  3. C
  4. D
Show answer

Correct answer

  • B
Question 7 on its own page

Question 8

+3 marksWritten answer
Show answer

Correct answer: 0.14 to 0.18 or Question Numbers : (117 to 119) or Question Label : Comprehension or Based on the above data , answer the given sub questions . or Sub questions

Question 8 on its own page

Question 9

+2 marksOne correct option
  1. A
  2. B
  3. C
  4. D
Show answer

Correct answer

  • C
Question 9 on its own page

Question 10

+2 marksOne correct option

Are X and Y independent?

  1. A

    Yes

  2. B

    No

Show answer

Correct answer

  • A

    Yes

Question 10 on its own pageAlso asked in Quiz 2 31 Oct 2021

Question 11

+1 markWritten answer
Show answer

Correct answer: 0.5 or Question Numbers : (120 to 122) or Question Label : Comprehension or Based on the above data , answer the given sub questions . or Sub questions

Question 11 on its own page

Question 12

+2 marksNumerical answer
Show answer

Correct answer: 0.75 (accepted within ±0.02)

Question 12 on its own page

Question 13

+2 marksNumerical answer
Show answer

Correct answer: 0.5

Question 13 on its own page

Question 14

+2 marksWritten answer
Show answer

Correct answer: 0.65 to 0.68 or Question Numbers : (123 to 124) or Question Label : Comprehension or Based on the above data , answer the given sub questions . or Sub questions

Question 14 on its own page

Question 15

+3 marksOne correct option

Find the probability density function of X.

  1. A
  2. B
  3. C
  4. D
Show answer

Correct answer

  • A
Question 15 on its own page

Question 16

+3 marksWritten answer
Show answer

Correct answer: 1.14 to 1.18 or Question Numbers : (125 to 128) or Question Label : Comprehension or Based on the above data , answer the given sub questions . or Sub questions

Question 16 on its own page

Question 17

+1 markOne correct option
  1. A

    Yes

  2. B

    No

Show answer

Correct answer

  • A

    Yes

Question 17 on its own page

Question 18

+1 markOne correct option
  1. A
  2. B
  3. C
  4. D
Show answer

Correct answer

  • B
Question 18 on its own page

Question 19

+2 marksOne correct option
  1. A
  2. B
  3. C
  4. D
Show answer

Correct answer

  • C
Question 19 on its own page

Question 20

+2 marksNumerical answer
Show answer

Correct answer: 0.33 (accepted within ±0.01)

Question 20 on its own page

Question 21

+3 marksNumerical answer
Show answer

Correct answer: 1.4

Question 21 on its own page

Question 22

+3 marksNumerical answer

The time taken by Krishna to complete a race follows an exponential distribution with an expected time of 20 minutes. What is the probability that Krishna takes lesser than 30 minutes but more than 15 minutes to complete the race? Enter the answer correct to 2 decimals accuracy.

Show answer

Correct answer: 0.245 (accepted within ±0.015)

Question 22 on its own page

Question 23

+2 marksOne correct option
  1. A
  2. B
  3. C
  4. D
Show answer

Correct answer

  • B
Question 23 on its own page